What is the Least Common Multiple of 31519 and 31532?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 31519 and 31532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31519 and 31532, than apply into the LCM equation.

GCF(31519,31532) = 1
LCM(31519,31532) = ( 31519 × 31532) / 1
LCM(31519,31532) = 993857108 / 1
LCM(31519,31532) = 993857108

Least Common Multiple (LCM) of 31519 and 31532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31519 and 31532. First we will calculate the prime factors of 31519 and 31532.

Prime Factorization of 31519

Prime Factorization of 31532

Now multiplying the highest exponent prime factors to calculate the LCM of 31519 and 31532.

LCM(31519,31532) = 43¹ × 733¹ × 2² × 7883¹
LCM(31519,31532) = 993857108